Question

A random experiment was conducted where a Person A tossed five coins and recorded the number of “heads”. Person B rolled two dice and recorded the smaller number out of the two dice. Simulate this scenario (use 10000 long columns) and answer questions 10 to 13.

Hint: check Lectures 26 and 27 in the Book.

10. Which of the two persons (A or B) is more likely to get the number 1?

• a. Person A
• b. Person B
• c. Not possible to determine

11. Which of the two persons will have higher Variation in their outcomes (i.e. higher Standard deviation)?

• a. Person A
• b. Person B
• c. Not possible to determine

12. What is the probability that person A obtains the numbers 5 or 6?

• a. About 3%
• b. About 8%
• c. About 10%
• d. About 15%

13. Which of the persons has higher probability of getting the number 3 or larger?

• a. Person A
• b. Person B
• c. Not possible to determine

Tutorial

Answer 1

10)

A : Recorded no.of heads (Five coins)

B : Recorded smallest number (Rolled two dice)

Here, We can easily say that person A will get 1 because he has five chance to get 1 but person
B has only two chances.

Answer : Person A

11)

Person B has two dice and he getting the smaller number out of two dice. So person B will have higher variation in their outcomes.

Answer : Person B

12)

Person A obtain number 5 or 6

n = 5

p = 0.5

Probability of A getting 5 = 0.03125 ~0.03 = 3% (binomial distribution)

13)

Person has higher probability of getting the number 3 or larger is

Person A probability = 0.1875 = 18.75%

Person B probability = 1- P(1) - P(2) = 1- (1/36) - (2/36) = 0.91667 = 91.66%

Person B has more probability of getting the number 3.

Answer : Person B